On the variational noncommutative Poisson geometry

Details On the variational noncommutative Poisson geometry On the variational noncommutative Poisson geometry

2011-12-25

arxiv.org/abs/1112.5784v1

Physics

Mathematical Physics

Proc. Int. workshop SQS'11 `Supersymmetry and Quantum Symmetries' (July 18-23, 2011; JINR Dubna, Russia), 4 pages

Scientific paper

We outline the notions and concepts of the calculus of variational multivectors within the Poisson formalism over the spaces of infinite jets of mappings from commutative (non)graded smooth manifolds to the factors of noncommutative associative algebras over the equivalence under cyclic permutations of the letters in the associative words. We state the basic properties of the variational Schouten bracket and derive an interesting criterion for (non)commutative differential operators to be Hamiltonian (and thus determine the (non)commutative Poisson structures). We place the noncommutative jet-bundle construction at hand in the context of the quantum string theory.

Affiliated with

Also associated with

No associations

Rating

On the variational noncommutative Poisson geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the variational noncommutative Poisson geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the variational noncommutative Poisson geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-340275